annajrrett02 annajrrett02
  • 06-02-2018
  • Mathematics
contestada

What is the simplified value of the exponential expression 16^1/14

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gmany
gmany gmany
  • 24-07-2018

[tex]16=2^4\\\\16^\frac{1}{14}=(2^4)^\frac{1}{14}=2^{4\cdot\frac{1}{14}}=2^\frac{4}{14}=2^\frac{2}{7}=\sqrt[7]{2^2}=\sqrt[7]4[/tex]



[tex]\text{used:}\\\\(a^n)^m=a^{n\cdot m}\\\\\sqrt[n]{a^m}=a^\frac{m}{n}[/tex]

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